Results 11 to 20 of about 2,628,613 (92)
THE WEIGHT PART OF SERRE’S CONJECTURE FOR $\text{GL}(2)$
Forum of Mathematics, Pi, 2015 Let $p>2$ be prime. We use purely local methods to determine the possible reductions of certain two-dimensional crystalline representations, which we call pseudo-Barsotti–Tate representations, over arbitrary finite extensions of $\mathbb{Q}_{p}$.
TOBY GEE, TONG LIU, DAVID SAVITT
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Elliptic Curves over Totally Real Cubic Fields are Modular [PDF]
, 2019 We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to
Derickx, Maarten +2 more
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Forum of Mathematics, Sigma, 2014 We extend the modularity lifting result of P. Kassaei (‘Modularity lifting in parallel weight one’,J. Amer. Math. Soc. 26 (1) (2013), 199–225) to allow Galois representations with some ramification at
PAYMAN L. KASSAEI +2 more
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Criteria for irreducibility of mod p representations of Frey curves [PDF]
, 2014 Let K be a totally real Galois number field and let A be a set of elliptic curves over K. We give sufficient conditions for the existence of a finite computable set of rational primes P such that for p not in P and E in A, the representation on E[p] is ...
Freitas, Nuno, Siksek, Samir
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International Journal of Secondary Metabolite, 2023 Secondary metabolites are highly beneficial to human health and have commercial and industrial values. So, this research aimed to study the effects of exogenous salicylic acid (SA) and jasmonic acid (JA) on some secondary metabolites in purple coneflower.
Fatemeh Rasoli̇, M. Gholipoor
semanticscholar +1 more source
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Forum of Mathematics, Sigma, 2019 We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER +5 more
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On Serre's uniformity conjecture for semistable elliptic curves over totally real fields [PDF]
, 2015 Let $K$ be a totally real field, and let $S$ be a finite set of non-archimedean places of $K$. It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}$ so that if $E$ is an elliptic curve defined over $K$, semistable outside
Anni, Samuele, Siksek, Samir
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Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti
Documenta Mathematica, 2012 We prove that the Consani-Scholten quintic, a CalabiYau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms.
L. Dieulefait, Ariel Pacetti, M. Schütt
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International Journal of Secondary Metabolite, 2023 To quantify the aqueous and methanolic extracts for primary and secondary metabolites, and the antioxidant potential of leaf extracts of the Thunbergia erecta plant and to adopt them in Ayurvedic medications for various illnesses.
Nitin Kochar +4 more
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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